# Solution - Heights and Distances

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ConceptHeights and Distances

#### Question

The shadow of a building is 20 m long when the angle of elevation of the sun is 60º. Find the height of the building

#### Solution

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The angle of depression of a car parked on the road from the top of a 150 m high tower is 30°. The distance of the car from the tower (in metres) is

(A) 50sqrt3

(B) 150sqrt 3

(C) 150sqrt2

(D) 75

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A ladder against a vertical wall makes an angle of 45º with the ground. The foot of the ladder is 3m from the wall. Find the length of the ladder

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The elevation of a tower at a station A due north of it is α and at a station B due west of A is β. Prove that the height of the tower is \frac{AB\sin \alpha \sin \beta }{\sqrt{\sin^{2}\alpha -\sin ^{2}\beta

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A kite is flying at a height of 60 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is 60°. Find the length of the string, assuming that there is no slack in the string.

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A balloon of radius γ makes an angle α at the eye of an observer and the angle of elevation of its centre is β. Then find the height of its centre from the ground level

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#### Reference Material

Solution for concept: Heights and Distances. For the course 8th-10th CBSE
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